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On nonlinear difference and differential equations

BIT, 1984
Let \(L[f]\) be the least upper bound Lipschitz constant of \(f:D\to {\mathbb{R}}^ m,\) \[ L[f]=\sup_{u\neq v}\frac{\| f(u)-f(v)\|}{\| u- v\|},\quad u,v\in D\subset {\mathbb{R}}^ m, \] for a given norm on \({\mathbb{R}}^ m\). In analogy with the logarithmic norm, the author introduces the expression \[ M[f]=\lim_{h\to 0+}\frac{L[I+hf]-1}{h} \] where ...
openaire   +2 more sources

Solvable Subclasses of a Class of Nonlinear Second-Order Difference Equations

Advances in Nonlinear Analysis, 2016
Stevo Stević
exaly  

Asymptotic Behavior of Nonlinear Difference Equations With Delays

Computers and Mathematics With Applications, 2001
Daoyi Xu
exaly  

Oscillation Criteria for a Nonlinear Difference Equation

Computers and Mathematics With Applications, 1998
Sui Sun Cheng
exaly  

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